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Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7
0

%I #4 Dec 11 2014 06:32:33

%S 1194,3054,6086,25882,340800,6752446,249690188,13251150646,

%T 1129132756936,134581826099074,26074659792166044,7042204562689607110,

%U 3076055248250450622008,1874713355693280173742202

%N Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7

%C Diagonal of A251923

%e Some solutions for n=4

%e ..2..3..2..0..2..3....1..0..1..3..1..0....3..2..0..2..3..2....3..1..3..1..3..1

%e ..3..2..0..2..3..2....3..1..3..1..3..1....2..0..2..0..2..3....1..0..1..3..1..0

%e ..2..0..2..0..2..0....1..3..1..0..1..3....0..2..0..2..0..2....3..1..3..1..3..1

%e ..0..2..3..2..0..2....3..1..3..1..0..1....2..0..2..3..2..0....1..3..1..3..1..3

%e ..2..3..2..0..2..0....1..3..1..3..1..3....0..2..3..2..0..2....0..1..3..1..0..1

%e ..2..2..0..2..0..2....3..1..3..1..3..1....2..0..2..0..2..0....1..3..1..3..1..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 11 2014